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Please use this identifier to cite or link to this item: http://repositorio.ufba.br/ri/handle/ri/5951

Title: Correlation Decay and Recurrence Asymptotics for Some Robust Nonuniformly Hyperbolic Maps
Other Titles: Journal of Statistical Physics
Authors: Varandas, Paulo César Rodrigues Pinto
Keywords: Decay of correlations;Equilibrium states;Non-uniform hyperbolicity;Hitting and return times
Issue Date: 2008
Abstract: We study a robust class of multidimensional non-uniformly hyperbolic transformations considered by Oliveira and Viana (Ergod. Theory Dyn. Syst. 28:501–533, 2008). For an open class of Hölder continuous potentials with small variation we show that the unique equilibrium state has exponential decay of correlations and that the distribution of hitting times is asymptotically exponential. Furthermore, using that the equilibrium states satisfy a weak Gibbs property we also prove log-normal fluctuations of the return times around their average.
Description: Acesso restrito: Texto completo. p. 813-839
URI: http://www.repositorio.ufba.br/ri/handle/ri/5951
ISSN: 0022-4715
Appears in Collections:Artigos Publicados em Periódicos (IM)

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